the answer to a is 8.580008164 and the answer to c is 8.335 (10%) Problem 10: Su

Question

the answer to a is 8.580008164

and the answer to c is 8.335

(10%) Problem 10: Suppose that a 975 kg football player running at 8.5 m/s catches a 0.49 kg ball moving at a speed of 245 m/s with his feet off the ground, while both of them are m oving horizontally 25% Part (a) Calculate the final speed of the player, in meters per second, if the ball and player are initially moving in the same direction 25% Part (b) Calculate the change in kinetic energy of the system, in joules, after the player catches the ball Grade Summary Deductions Potential KE,-|-129.291 7% 93% tan() | | ( 7 89HOME Submissions Attempts remaining: 3 (1% per attempt) cos0 cotan) asin) atan)a acos) acotansinh0 detailed view 1% 1% 1% 1% 0 cosh)tanhO cotanhO Degrees Radians END VO BACKSPACE CLEAR 4 Submit Hint I give up Hints: 1 % deduction per hint. Hints remaining: 1 Feedback: 3 for a 3% deduction No meaningful feedback available for the current submission 25% Part c Calculate the final speed of the player in meters per second if the ball and player are initially moving in opposite directions 25% Part (d) Calculate the change in kinetic energy of the system, in joules, in this case

Explanation / Answer

(A) Applying momentum conservation,

(97.5 x 8.5) + (0.49 x 24.5) = (97.5 + 0.49) v

v = 8.58 m/s

(B) Ki = (97.5x 8.5^2 / 2) + (0.49 x 24.5^2 /2 ) = 3669.25 J

Kf= (97.5 + 0.49) (8.58^2 / 2) = 3606.84 J

change in KE = Kf - Ki = - 62.4 J

(C) (97.5 x 8.5) - (0.49 x 24.5) = (97.5 + 0.49) v

v = 8.335 m/s

(d) Ki = 3669.25 J

Kf = 3403.79 J

delta(K) = Kf - Ki = - 265.5 J

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